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Fill in the blank with one of the words or phrases listed below. compound inequality   solution  system of linear inequalities   absolute value   union   intersection -The________ of two sets is the set of all elements common to both sets.


A) union
B) solution
C) intersection
D) absolute value

E) A) and B)
F) None of the above

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Solve the absolute value equation. - ∣4x−24∣=∣−4∣\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |


A) 72\frac { 7 } { 2 }
B) ∅\varnothing
C) −92- \frac { 9 } { 2 }
D) 92,−72\frac { 9 } { 2 } , - \frac { 7 } { 2 }

E) None of the above
F) All of the above

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Solve the inequality. Graph the solution set. - ∣8k−2∣>−3| 8 k - 2 | > - 3 Solve the inequality. Graph the solution set. - | 8 k - 2 | > - 3 A) \left( \frac { 5 } { 8 } , \infty \right) B) ( - \infty , \infty ) C) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right) D) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)


A) (58,∞) \left( \frac { 5 } { 8 } , \infty \right)
Solve the inequality. Graph the solution set. - | 8 k - 2 | > - 3 A) \left( \frac { 5 } { 8 } , \infty \right) B) ( - \infty , \infty ) C) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right) D) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)
B) (−∞,∞) ( - \infty , \infty )
Solve the inequality. Graph the solution set. - | 8 k - 2 | > - 3 A) \left( \frac { 5 } { 8 } , \infty \right) B) ( - \infty , \infty ) C) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right) D) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)
C) (−18,58) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right)
Solve the inequality. Graph the solution set. - | 8 k - 2 | > - 3 A) \left( \frac { 5 } { 8 } , \infty \right) B) ( - \infty , \infty ) C) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right) D) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)
D) (−∞,−18) ∪(58,∞) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)
Solve the inequality. Graph the solution set. - | 8 k - 2 | > - 3 A) \left( \frac { 5 } { 8 } , \infty \right) B) ( - \infty , \infty ) C) \left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right) D) \left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)

E) C) and D)
F) B) and D)

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Graph the inequality. - x−y>−6x-y>-6 Graph the inequality. - x-y>-6 A) B) C) D)


A)
Graph the inequality. - x-y>-6 A) B) C) D)
B)
Graph the inequality. - x-y>-6 A) B) C) D)
C)
Graph the inequality. - x-y>-6 A) B) C) D)
D)
Graph the inequality. - x-y>-6 A) B) C) D)

E) C) and D)
F) B) and D)

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List the elements of the set. -If A={21,23,24,25,28}\mathrm { A } = \{ 21,23,24,25,28 \} and B={21,23,24,25}\mathrm { B } = \{ 21,23,24,25 \} , list the elements of A∩B\mathrm { A } \cap \mathrm { B } .


A) {28}\{ 28 \}
B) {21,23,24,25}\{ 21,23,24,25 \}
C) { }
D) {21,23,24,25,28}\{ 21,23,24,25,28 \}

E) A) and B)
F) None of the above

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Determine whether the ordered pair given is a solution of the linear inequality in two variables. - y>−x+6;(5,4)y > - x + 6 ; ( 5,4 )

A) True
B) False

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Graph the inequality. - 7x+y<37 x+y<3 Graph the inequality. - 7 x+y<3 A) B) C) D)


A)
Graph the inequality. - 7 x+y<3 A) B) C) D)
B)
Graph the inequality. - 7 x+y<3 A) B) C) D)
C)
Graph the inequality. - 7 x+y<3 A) B) C) D)
D)
Graph the inequality. - 7 x+y<3 A) B) C) D)

E) All of the above
F) B) and C)

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Graph the solution of the system of linear inequalities. - {y≤4x≥5\left\{\begin{array}{l}y \leq 4 \\x \geq 5\end{array}\right. Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right. A) B) C) D)


A)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right. A) B) C) D)
B)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right. A) B) C) D)
C)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right. A) B) C) D)
D)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right. A) B) C) D)

E) C) and D)
F) B) and C)

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Graph the inequality. - 3x+7y≤03 x+7 y \leq 0 Graph the inequality. - 3 x+7 y \leq 0 A) B) C) D)


A)
Graph the inequality. - 3 x+7 y \leq 0 A) B) C) D)
B)
Graph the inequality. - 3 x+7 y \leq 0 A) B) C) D)
C)
Graph the inequality. - 3 x+7 y \leq 0 A) B) C) D)
D)
Graph the inequality. - 3 x+7 y \leq 0 A) B) C) D)

E) B) and C)
F) None of the above

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Determine whether the ordered pair given is a solution of the linear inequality in two variables. - x+2y>−6;(3,−2)x + 2 y > - 6 ; ( 3 , - 2 )

A) True
B) False

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Graph the inequality. - −7x−8y>0-7 x-8 y>0 Graph the inequality. - -7 x-8 y>0 A) B) C) D)


A)
Graph the inequality. - -7 x-8 y>0 A) B) C) D)
B)
Graph the inequality. - -7 x-8 y>0 A) B) C) D)
C)
Graph the inequality. - -7 x-8 y>0 A) B) C) D)
D)
Graph the inequality. - -7 x-8 y>0 A) B) C) D)

E) B) and C)
F) C) and D)

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Graph the solution of the system of linear inequalities. - {x≥5yx+5y≤2\left\{\begin{aligned}x & \geq 5 y \\x+5 y & \leq 2\end{aligned}\right. Graph the solution of the system of linear inequalities. - \left\{\begin{aligned} x & \geq 5 y \\ x+5 y & \leq 2 \end{aligned}\right. A) B) C) D)


A)
Graph the solution of the system of linear inequalities. - \left\{\begin{aligned} x & \geq 5 y \\ x+5 y & \leq 2 \end{aligned}\right. A) B) C) D)
B)
Graph the solution of the system of linear inequalities. - \left\{\begin{aligned} x & \geq 5 y \\ x+5 y & \leq 2 \end{aligned}\right. A) B) C) D)
C)
Graph the solution of the system of linear inequalities. - \left\{\begin{aligned} x & \geq 5 y \\ x+5 y & \leq 2 \end{aligned}\right. A) B) C) D)
D)
Graph the solution of the system of linear inequalities. - \left\{\begin{aligned} x & \geq 5 y \\ x+5 y & \leq 2 \end{aligned}\right. A) B) C) D)

E) C) and D)
F) B) and C)

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Solve. -Cindy has scores of 72,84,8572,84,85 , and 90 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a CC in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79 .


A) 44.5≤44.5 \leq final score ≤71.5\leq 71.5
B) 89≤89 \leq final score ≤143\leq 143
C) 9.5≤9.5 \leq final score ≤32\leq 32
D) 70≤70 \leq final score ≤79\leq 79

E) B) and D)
F) B) and C)

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Solve the absolute value equation. - ∣3x+35∣=4\left| \frac { 3 x + 3 } { 5 } \right| = 4


A) −173- \frac { 17 } { 3 }
B) 233\frac { 23 } { 3 }
C) ∅\varnothing
D) 173,−233\frac { 17 } { 3 } , - \frac { 23 } { 3 }

E) None of the above
F) A) and D)

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Solve the equation or inequality. - ∣2x+3∣+7=9| 2 x + 3 | + 7 = 9


A) −13,−53- \frac { 1 } { 3 } , - \frac { 5 } { 3 }
B) −12,−52- \frac { 1 } { 2 } , - \frac { 5 } { 2 }
C) ∅\varnothing
D) 12,52\frac { 1 } { 2 } , \frac { 5 } { 2 }

E) All of the above
F) A) and B)

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Graph the inequality. - −2x−3y≤6-2 x-3 y \leq 6 Graph the inequality. - -2 x-3 y \leq 6 A) B) C) D)


A)
Graph the inequality. - -2 x-3 y \leq 6 A) B) C) D)
B)
Graph the inequality. - -2 x-3 y \leq 6 A) B) C) D)
C)
Graph the inequality. - -2 x-3 y \leq 6 A) B) C) D)
D)
Graph the inequality. - -2 x-3 y \leq 6 A) B) C) D)

E) C) and D)
F) B) and C)

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Graph the solution of the system of linear inequalities. - {y<2x+6y≥x−7\left\{\begin{array}{l}y<2 x+6 \\y \geq x-7\end{array}\right. Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right. A) B) C) D)


A)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right. A) B) C) D)
B)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right. A) B) C) D)
C)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right. A) B) C) D)
D)
Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right. A) B) C) D)

E) None of the above
F) All of the above

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Solve the compound inequality. Graph the solution set. - −9x>−27- 9 x > - 27 and x+9>6x + 9 > 6 Solve the compound inequality. Graph the solution set. - - 9 x > - 27 and x + 9 > 6 A) (-\infty,-3) \cup(3, \infty) B) ( - 3,3 ) C) \varnothing D) ( 3 , \infty )


A) (−∞,−3) ∪(3,∞) (-\infty,-3) \cup(3, \infty)
Solve the compound inequality. Graph the solution set. - - 9 x > - 27 and x + 9 > 6 A) (-\infty,-3) \cup(3, \infty) B) ( - 3,3 ) C) \varnothing D) ( 3 , \infty )
B) (−3,3) ( - 3,3 )
Solve the compound inequality. Graph the solution set. - - 9 x > - 27 and x + 9 > 6 A) (-\infty,-3) \cup(3, \infty) B) ( - 3,3 ) C) \varnothing D) ( 3 , \infty )
C) ∅\varnothing
Solve the compound inequality. Graph the solution set. - - 9 x > - 27 and x + 9 > 6 A) (-\infty,-3) \cup(3, \infty) B) ( - 3,3 ) C) \varnothing D) ( 3 , \infty )
D) (3,∞) ( 3 , \infty )
Solve the compound inequality. Graph the solution set. - - 9 x > - 27 and x + 9 > 6 A) (-\infty,-3) \cup(3, \infty) B) ( - 3,3 ) C) \varnothing D) ( 3 , \infty )

E) A) and B)
F) B) and D)

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Solve the inequality. Graph the solution set. - ∣x∣≤2| x | \leq 2 Solve the inequality. Graph the solution set. - | x | \leq 2 A) [ - 2,2 ] B) ( - 2,2 ) C) ( - \infty , - 2 ] \cup [ 2 , \infty ) D) ( - \infty , 2 ]


A) [−2,2][ - 2,2 ]
Solve the inequality. Graph the solution set. - | x | \leq 2 A) [ - 2,2 ] B) ( - 2,2 ) C) ( - \infty , - 2 ] \cup [ 2 , \infty ) D) ( - \infty , 2 ]
B) (−2,2) ( - 2,2 )
Solve the inequality. Graph the solution set. - | x | \leq 2 A) [ - 2,2 ] B) ( - 2,2 ) C) ( - \infty , - 2 ] \cup [ 2 , \infty ) D) ( - \infty , 2 ]
C) (−∞,−2]∪[2,∞) ( - \infty , - 2 ] \cup [ 2 , \infty )
Solve the inequality. Graph the solution set. - | x | \leq 2 A) [ - 2,2 ] B) ( - 2,2 ) C) ( - \infty , - 2 ] \cup [ 2 , \infty ) D) ( - \infty , 2 ]
D) (−∞,2]( - \infty , 2 ]
Solve the inequality. Graph the solution set. - | x | \leq 2 A) [ - 2,2 ] B) ( - 2,2 ) C) ( - \infty , - 2 ] \cup [ 2 , \infty ) D) ( - \infty , 2 ]

E) None of the above
F) All of the above

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Solve the inequality. Graph the solution set. - ∣x+19∣<7| x + 19 | < 7


A) (−∞,−26) ( - \infty , - 26 )
Solve the inequality. Graph the solution set. - | x + 19 | < 7 A) ( - \infty , - 26 ) B) ( 12,26 ) C) ( - \infty , - 12 ) D) ( - 26 , - 12 )
B) (12,26) ( 12,26 )
Solve the inequality. Graph the solution set. - | x + 19 | < 7 A) ( - \infty , - 26 ) B) ( 12,26 ) C) ( - \infty , - 12 ) D) ( - 26 , - 12 )
C) (−∞,−12) ( - \infty , - 12 )
Solve the inequality. Graph the solution set. - | x + 19 | < 7 A) ( - \infty , - 26 ) B) ( 12,26 ) C) ( - \infty , - 12 ) D) ( - 26 , - 12 )
D) (−26,−12) ( - 26 , - 12 )
Solve the inequality. Graph the solution set. - | x + 19 | < 7 A) ( - \infty , - 26 ) B) ( 12,26 ) C) ( - \infty , - 12 ) D) ( - 26 , - 12 )

E) A) and B)
F) A) and C)

Correct Answer

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